Limits of Thermal Conductance Quantization in Chiral Topological Josephson Junctions
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arXiv
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2026
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| author | Gresta, Daniel Dominguez, Fernando Klees, Raffael L. Goth, Florian Molenkamp, Laurens W. Hankiewicz, Ewelina M. |
| author_facet | Gresta, Daniel Dominguez, Fernando Klees, Raffael L. Goth, Florian Molenkamp, Laurens W. Hankiewicz, Ewelina M. |
| contents | We investigate thermal and non-local electrical transport in four-terminal Josephson junctions formed by a normal region coupled to two transverse chiral superconducting leads, supporting phases characterized by Chern numbers ${\cal C}=0,\,1$\,and\,2. We identify the conditions under which a single chiral Majorana mode (${\cal C}=1$) produces a robust half-quantized thermal conductance, while non-local electrical conductance remains strongly suppressed by particle-hole symmetry. Thermal conductance quantization occurs near a superconducting phase difference $π$, but only in the low-doping regime of the central region and in the intermediate- to long-junction limits. At finite Zeeman fields, the thermal response broadly follows the topology of the isolated superconducting leads for the $C=1$ phase while, in the ${\cal C}=2$ phase, the thermal conductance generally deviates from quantization, depending on the momentum-space location of the Majorana modes. Our results establish clear criteria for probing chiral Majorana modes in Josephson junctions and highlight the essential role of momentum-space structure, finite-size geometry, and sample parameters in thermal transport. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_12947 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Limits of Thermal Conductance Quantization in Chiral Topological Josephson Junctions Gresta, Daniel Dominguez, Fernando Klees, Raffael L. Goth, Florian Molenkamp, Laurens W. Hankiewicz, Ewelina M. Superconductivity Mesoscale and Nanoscale Physics We investigate thermal and non-local electrical transport in four-terminal Josephson junctions formed by a normal region coupled to two transverse chiral superconducting leads, supporting phases characterized by Chern numbers ${\cal C}=0,\,1$\,and\,2. We identify the conditions under which a single chiral Majorana mode (${\cal C}=1$) produces a robust half-quantized thermal conductance, while non-local electrical conductance remains strongly suppressed by particle-hole symmetry. Thermal conductance quantization occurs near a superconducting phase difference $π$, but only in the low-doping regime of the central region and in the intermediate- to long-junction limits. At finite Zeeman fields, the thermal response broadly follows the topology of the isolated superconducting leads for the $C=1$ phase while, in the ${\cal C}=2$ phase, the thermal conductance generally deviates from quantization, depending on the momentum-space location of the Majorana modes. Our results establish clear criteria for probing chiral Majorana modes in Josephson junctions and highlight the essential role of momentum-space structure, finite-size geometry, and sample parameters in thermal transport. |
| title | Limits of Thermal Conductance Quantization in Chiral Topological Josephson Junctions |
| topic | Superconductivity Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2602.12947 |